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Finding the Fourth Proportional to 784.64, 1,082.44 and 666.12

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Solution

The fourth proportional to 784.64, 1,082.44 and 666.12 is: 918.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.64 : 1,082.44 = 666.12 : x
  2. Step 2: Convert to fraction form
    784.64/1,082.44 = 666.12/x
  3. Step 3: Cross multiply
    784.64x = 1,082.44 × 666.12
  4. Step 4: Simplify right side
    784.64x = 721,034.93
  5. Step 5: Solve for x
    x = 721,034.93/784.64
  6. Step 6: Final answer
    x = 918.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.